The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 91.9435\\[1 em]x_2 &= -0.0331+13.8134i\\[1 em]x_3 &= -0.0331-13.8134i \end{aligned} $$Polynomial $ -114x^3+10474x^2-21058x+2000000 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.